We assume that emitted heavy particle \(\chi \)  is a scalar particle. According to Cheek et al., the relic abundance of emitted particles depends on their spin, varying in \(\sim 2\)  orders of magnitude between scalar and spin-2 particles in the case of Schwarzschild PBH [1]}. Although this variation of \(\sim 2\)  orders of magnitude may have a substantial effect in some situations, this spin effect does not make a significant difference in the conclusion of this paper.
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